Finding the Third Proportional to 359,714 and 527,907

Step by Step Solution

1. Step 1: Write the proportion equation
   359,714 : 527,907 = 527,907 : x
2. Step 2: Convert to fraction form
   359,714/527,907 = 527,907/x
3. Step 3: Cross multiply
   359,714x = 527,907 × 527,907
4. Step 4: Simplify right side
   359,714x = 278,685,800,649
5. Step 5: Solve for x
   x = 278,685,800,649/359,714
6. Step 6: Final answer
   x = 774,742.71